74142875664 has 400 divisors, whose sum is σ = 253352742720. Its totient is φ = 20636881920.

The previous prime is 74142875633. The next prime is 74142875683. The reversal of 74142875664 is 46657824147.

74142875664 is a `hidden beast` number, since 74 + 1 + 4 + 2 + 8 + 7 + 566 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 74142875664.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 42439239 + ... + 42440985.

Almost surely, 2^74142875664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74142875664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126676371360).

74142875664 is an abundant number, since it is smaller than the sum of its proper divisors (179209867056).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

74142875664 is a wasteful number, since it uses less digits than its factorization.

74142875664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2020 (or 2005 counting only the distinct ones).

The product of its digits is 9031680, while the sum is 54.

The spelling of 74142875664 in words is "seventy-four billion, one hundred forty-two million, eight hundred seventy-five thousand, six hundred sixty-four".